Revisiting the Local Scaling Hypothesis in Stably Stratified Atmospheric Boundary-Layer Turbulence: an Integration of Field and Laboratory Measurements with Large-Eddy Simulations

Basu, Sukanta; Porté‐Agel, Fernando; Foufoula‐Georgiou, Efi; Vinuesa, J.-F.; Pahlow, Markus

doi:10.1007/s10546-005-9036-2

Cited by 102 publications

(106 citation statements)

References 58 publications

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“…(A) From atmospheric and wind-tunnel observations and large-eddy simulations, Basu et al (2006) show that σ w /u * is rather close to the value 1.4-1.5 at the large stability limit (and in fact surprisingly constant with respect to stability). Here, for simplicity, we take C = σ w /u * ≈ √ 2, so that C 2 = 2.…”

Section: Predicting the Value Of αmentioning

confidence: 97%

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Local Similarity in the Stable Boundary Layer and Mixing-Length Approaches: Consistency of Concepts

Wiel

Moene

Ronde

et al. 2008

Boundary-Layer Meteorol

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In stably stratified flows vertical movement of eddies is limited by the fact that kinetic energy is converted into potential energy, leading to a buoyancy displacement scale z B . Our new mixing-length concept for turbulent transport in the stable boundary layer follows a rigid-wall analogy, in the sense that we assume that the buoyancy length scale is similar to neutral length scaling. This implies that the buoyancy length scale is: B = κ B z B , with κ B ≈ κ, the von Karman constant. With this concept it is shown that the physical relevance of the local scaling parameter z/ naturally appears, and that the α coefficient of the log-linear similarity functions φ m,h = 1 + αz/ is equal to c/κ 2 , where c is a constant close to unity. The predicted value α ≈ 1/κ 2 = 6.25 lies within the range found in observational studies. Finally, it is shown that the traditionally used inverse linear interpolation between the mixing length in the neutral and buoyancy limits is inconsistent with the classical log-linear stability functions. As an alternative, a log-linear consistent interpolation method is proposed.

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Section: Predicting the Value Of αmentioning

confidence: 97%

“…Next, we eliminate σ w , by using the fact that all dimensionless groups have to reach constant values in the strong stability limit (Nieuwstadt 1984, Basu et al 2006). Hence we have σ w = Cu * , with C a proportionality constant, which leads to:…”

Section: The Rigid-wall Analogymentioning

confidence: 99%

Local Similarity in the Stable Boundary Layer and Mixing-Length Approaches: Consistency of Concepts

Wiel

Moene

Ronde

et al. 2008

Boundary-Layer Meteorol

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“…Once the filtering algorithm is defined, an adequate time constant τ for the filter must be chosen carefully. The relevance of an appropriate choice of design parameters and cut-off period in a filtering procedure has also recently been underlined by, among others, Basu et al (2005) (Vickers and Mahrt, 1997;Mahrt, 2000;Mahrt et al, 2001, provide earlier references), who recalled the need for removing non-turbulent effects from field data when studying the similarity hypothesis. With respect to the recursive filter adopted here, the value of τ proposed by McM on the basis of tests performed on suitable datasets is 200 s, which was also adopted by Rannik (1998).…”

Section: Filtering Proceduresmentioning

confidence: 99%

“…These works were investigating CO 2 and H 2 O fluxes over forests, and longer times appeared a necessary requirement in order to capture all the relevant scales contributing to the transport of mass and momentum (Lee et al, 2004). However, since the present paper focuses on the applicability of similarity theory for turbulent quantities, a value of τ = 300 s is adopted, accounting for the considerations of Basu et al (2005).…”

Section: Filtering Proceduresmentioning

confidence: 99%

Analysis of second‐order moments in surface layer turbulence in an Alpine valley

Franceschi

Zardi

Tagliazucca

et al. 2009

Quart J Royal Meteoro Soc

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ABSTRACT:The paper presents the analysis of field measurements in the atmospheric surface layer over the floor of the Adige Valley, near the city of Bolzano in the Alps. Turbulence quantities, such as drag coefficient, displacement height and roughness length, appear similar to those reported in the literature concerning surface-layer turbulence over flat uniform terrain. The analysis of the non-dimensional standard deviations (σ u , σ v , σ w ) legitimates the adoption, for all the wind components, of the same Monin-Obukhov similarity relationship in the form σ i /u * = α i (1 + β i |ζ |) 1/3 , originally proposed only for flat uniform terrain under steady state conditions, and the extension of this expression to the case of winds over a valley floor in slowly varying situations. The coefficients α i are very similar for along-valley and cross-valley winds, as are the β i ones. Moreover the α u values are only slightly larger than the α v , contrary to what is reported in the literature. Conversely, σ θ /θ * shows distinctly different behaviour in the stable and unstable regimes. In particular, in the latter case a large scatter in the data is observed. However, since the most scattered data turn out to occur in transition periods (i.e. sunrise and sunset), after a specific data selection the best-fit parameters are more accurately estimated. In addition, emphasis is laid on the relevance of an appropriate formulation and use of a suitable recursive filter to separate the low-frequency unsteadiness of the mean flow from the turbulence signal.

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“…Generation of turbulence in very weak-wind stable conditions is poorly understood and does not satisfy existing similarity theory (Grachev et al, 2005;Basu et al, 2006;Mahrt and Vickers, 2006;Sorbjan, 2010;Mahrt, 2011). These conditions generally correspond to very small averaged turbulent heat flux, as in the radiative regime of Van de Wiel et al (2003).…”

Section: Introductionmentioning

confidence: 98%

Turbulence in the nocturnal boundary layer with light and variable winds

Mahrt

Richardson

Seaman

et al. 2012

Quart J Royal Meteoro Soc

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Turbulence quantities are analyzed from nine months of data collected on the floor of a valley where nocturnal cold pools are frequent. Often the speed of the vectoraveraged wind over the night is less than 0.5 m s −1 (near-calm winds) with no preference for wind direction. The quantity of such near-calm data is sufficiently large to allow new types of analyses as well as the opportunity to examine statistics of the previously ignored near-neutral subclass of near-calm winds.For near-calm weak winds and strong stratification, the turbulence can be difficult to isolate from wave-like motions and more complex small-scale structures. The smallest scale perturbations on time-scales less than 5 s behave most like turbulence. Larger-scale perturbations are characterized by very weak vertical velocity fluctuations and large temperature fluctuations, but lead to systematic downward heat flux after extensive averaging.For near-calm nocturnal conditions, significant turbulence is mainly generated by short-term (minutes) accelerations of unknown origin. The turbulence between such infrequent mixing events is extremely weak, but not zero. While the turbulence in the events approximately follows similarity theory, the extremely weak turbulence scales neither with stratification nor bulk shear, and its inferred vertical length-scale is small compared to the distance from the ground, even at the 2 m level. Copyright

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Revisiting the Local Scaling Hypothesis in Stably Stratified Atmospheric Boundary-Layer Turbulence: an Integration of Field and Laboratory Measurements with Large-Eddy Simulations

Cited by 102 publications

References 58 publications

Local Similarity in the Stable Boundary Layer and Mixing-Length Approaches: Consistency of Concepts

Local Similarity in the Stable Boundary Layer and Mixing-Length Approaches: Consistency of Concepts

Analysis of second‐order moments in surface layer turbulence in an Alpine valley

Turbulence in the nocturnal boundary layer with light and variable winds

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